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Finding the Fourth Proportional to 32,827, 45,301.28 and 17,923

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Solution

The fourth proportional to 32,827, 45,301.28 and 17,923 is: 24,733.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,827 : 45,301.28 = 17,923 : x
  2. Step 2: Convert to fraction form
    32,827/45,301.28 = 17,923/x
  3. Step 3: Cross multiply
    32,827x = 45,301.28 × 17,923
  4. Step 4: Simplify right side
    32,827x = 811,934,841.44
  5. Step 5: Solve for x
    x = 811,934,841.44/32,827
  6. Step 6: Final answer
    x = 24,733.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.